The parity of the period of the continued fraction of d

DOI10.1112/plms/pdp057zbMath1244.11092OpenAlexW2167314403MaRDI QIDQ3589232

Jürgen Klüners, Étienne Fouvry

Publication date: 20 September 2010

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/pdp057

zbMATH Keywords

class groupPell equationreal quadratic number fields

Mathematics Subject Classification ID

Quadratic extensions (11R11) Continued fractions (11A55) Class numbers, class groups, discriminants (11R29)

Related Items (13)

A Note on the Negative Pell Equation ⋮ On the 16-rank of class groups of \({\mathbb{Q}(\sqrt{-8p})}\) for \({p \equiv -1 \bmod 4}\) ⋮ Torus bundles not distinguished by TQFT invariants. With an appendix by Louis Funar and Andrei Rapinchuk ⋮ The 8-rank of the narrow class group and the negative Pell equation ⋮ Redei reciprocity, governing fields and negative Pell ⋮ On the 8-rank of narrow class groups of ℚ(−4pq), ℚ(−8pq), and ℚ(8pq) ⋮ 8-rank of the class group and isotropy index ⋮ ON THE -RANK OF CLASS GROUPS OF DIRICHLET BIQUADRATIC FIELDS ⋮ Explicit methods in number theory. Abstracts from the workshop held July 18--24, 2021 (hybrid meeting) ⋮ The infinitude of $\mathbb {Q}(\sqrt {-p})$ with class number divisible by 16 ⋮ On the negative Pell equation ⋮ On the period of the continued fraction of $\sqrt{pq}$ ⋮ Spins of prime ideals and the negative Pell equation

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